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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Tilting, deformations and representations of linear groups over Euclidean algebras

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Author(s):
Bekkert, Viktor [1] ; Drozd, Yuriy [2] ; Futorny, Vyacheslav [3]
Total Authors: 3
Affiliation:
[1] Univ Fed Minas Gerais, Inst Ciencias Exatas, Dept Matemat, Belo Horizonte, MG - Brazil
[2] Natl Acad Sci Ukraine, Inst Math, Kiev - Ukraine
[3] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo - Brazil
Total Affiliations: 3
Document type: Journal article
Source: Journal of Pure and Applied Algebra; v. 217, n. 6, p. 1141-1152, JUN 2013.
Web of Science Citations: 0
Abstract

We study irreducible unitary representations of linear groups over Dynkinian and Euclidean algebras, i.e. finite dimensional algebras derived equivalent to the path algebra of a Dynkin or Euclidean quiver. In particular, we describe such generic representations: we prove that there exists an open dense subset of the space of irreducible unitary representations isomorphic to the product of dual spaces of full linear groups and, perhaps, one more (explicitly described) space. The proof uses the technique of bimodule categories, deformations and representations of quivers. (C) 2012 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 10/50347-9 - Algebras, representations e applications
Grantee:Ivan Chestakov
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 07/05047-4 - Yuriy Drozd | Institute of Mathematics Academy of Sciences of Ukraine - Ucrânia
Grantee:Vyacheslav Futorny
Support Opportunities: Research Grants - Visiting Researcher Grant - International